pls solve this question
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Answered by
1
Answer:
5/√3-√5
5/√3-√5×√3+√5/√3+√5
5(√3+√5)
Answered by
8
Answer:
The required answer =
= -5(√3 + √5) / 2
= (-5√3 - 5√5) / 2
Step-by-step explanation:
Given,
5 / (√3 - √5)
For rationalizing the denominator we must multiply the numerator and denominator by (√3 + √5)
Then,
=> {5/(√3 - √5)} × {(√3+√5)/(√3+√5)}
We know that,
(a - b)(a + b) = a^2 - b^2
Using this identity, we get,
{5/(√3 - √5)} × {(√3+√5)/(√3+√5)} =
= {5(√3 + √5)} / {(√3)^2 - (√5)^2}
= 5(√3 + √5) / (3 - 5)
= 5(√3 + √5) / (-2)
= -5(√3 + √5) / 2
= (-5√3 - 5√5) / 2
Hence, the required answer =
= -5(√3 + √5) / 2
= (-5√3 - 5√5) / 2
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